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Finding the Fourth Proportional to 138,574.26, 207,705.87 and 68,502.78

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Solution

The fourth proportional to 138,574.26, 207,705.87 and 68,502.78 is: 102,677.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,574.26 : 207,705.87 = 68,502.78 : x
  2. Step 2: Convert to fraction form
    138,574.26/207,705.87 = 68,502.78/x
  3. Step 3: Cross multiply
    138,574.26x = 207,705.87 × 68,502.78
  4. Step 4: Simplify right side
    138,574.26x = 14,228,429,517.32
  5. Step 5: Solve for x
    x = 14,228,429,517.32/138,574.26
  6. Step 6: Final answer
    x = 102,677.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.